Finding the Fourth Proportional to 10,510.75, 14,504.84 and 5,795.34

Step by Step Solution

1. Step 1: Write the proportion equation
   10,510.75 : 14,504.84 = 5,795.34 : x
2. Step 2: Convert to fraction form
   10,510.75/14,504.84 = 5,795.34/x
3. Step 3: Cross multiply
   10,510.75x = 14,504.84 × 5,795.34
4. Step 4: Simplify right side
   10,510.75x = 84,060,479.45
5. Step 5: Solve for x
   x = 84,060,479.45/10,510.75
6. Step 6: Final answer
   x = 7,997.57